Hyperbolic Geometry Courses and Certifications

Centre de recherches mathématiques - CRM

Geometrization and Its Consequences in 3-Manifold Topology - Part II

Explore Thurston's geometric perspective on 3-manifolds, Perelman's Geometrization Theorem, and their impact on topology. Discover algorithmic and group-theoretic applications in 3-manifold theory.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

The Markov Ordering of the Rationals

Explore hyperbolic geometry's role in characterizing monotonicity of rational number ordering on a modular torus, connecting to Diophantine approximation and number theory.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Lecture 3

Delve into advanced concepts of building hyperbolic manifolds using Coxeter polytopes through expert guidance on geometric construction methods and theoretical foundations.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Geodesic Flow on Hyperbolic Surfaces - Part 2

Delve into the geodesic flow on hyperbolic surfaces in this advanced lecture by Ara Basmajian, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Geodesic Flow on Hyperbolic Surfaces - Lecture 1

Delve into the geodesic flow on hyperbolic surfaces in this lecture by Ara Basmajian, part of the "New trends in Teichmüller theory" program at ICTS.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Arithmetic Properties - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and totally geodesic submanifolds through expert lectures from Matthew Stover and Mikhail Belolipetsky at IMPA's specialized mathematics conference.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 3

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights from Brown University's mathematical research and developments.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced hyperbolic geometry concepts through an exploration of building hyperbolic manifolds with Coxeter polytopes, presented by Oxford mathematician Giovanni Italiano.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Building Hyperbolic Manifolds with Coxeter Polytopes - Mini-course 3

Delve into advanced concepts of building hyperbolic manifolds using Coxeter polytopes through expert guidance on geometric construction methods and theoretical foundations.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Totally Geodesic Submanifolds - Mini-course 2

Delve into advanced concepts of arithmetic hyperbolic manifolds and their totally geodesic submanifolds through expert insights from Temple University's Matthew Stover.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Exotic Negatively Curved Manifolds - Mini-course 2

Delve into advanced concepts of exotic negatively curved manifolds and hyperbolic geometry through expert insights on recent developments in geometric topology and group theory.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts with Jessica Purcell, exploring drilling and filling techniques for tame hyperbolic 3-manifolds and their fundamental properties in this mathematical lecture.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts through an exploration of renormalized volume and isoperimetric profiles in hyperbolic manifolds, presented by Yale University's Franco Vargas.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry and group theory through expert discussions on manifolds, submanifolds, and fundamental groups, featuring insights from leading mathematicians worldwide.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts through an exploration of Jordan variations and their applications, focusing on recent developments in hyperbolic manifolds and group theory.

• YouTube
• 58 minutes
• Self-Paced
• Free Video